摘要：We consider nested row-column designs with split units for a two-factor experiment.
The most optimal design in this case is that of using for the whole plots a Latin square
while for the subplot treatments with a completely randomized design for each whole
plot. Such a design, in fact optimal, utilizes many experimental units and quite a
large space. Hence to construct new designs of reduced size of the experiment we
use a cyclic design for the whole plot treatments and a square lattice design for the
subplot treatments. The proposed designs are generally balanced and they allow for
giving the stratum efficiency factors, especially useful to design of experiments.
关键词：cyclic design; general balance; square lattice design; stratum efficiency factor
